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Equilibrium turbulent boundary layers

Published online by Cambridge University Press:  28 March 2006

G. L. Mellor  and
D. M. Gibson
G. L. Mellor
Affiliation:
Department of Aerospace and Mechanical Sciences, Princeton University
D. M. Gibson
Affiliation:
Department of Aerospace and Mechanical Sciences, Princeton University Present address: General Dynamics, Fort Worth, Texas.
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Abstract

Empirical information is extracted from constant-pressure flows and, on this basis alone, the equations of motion are solved for flows where the pressure gradient parameter, β = δ*(dp/dx)/τ0 is held constant. The experimental defect profiles of Clauser and the near-separating profile of Stratford are predicted quite well.

The present work is an extension of the work of Clauser and Townsend in that a particular form for an effective or eddy viscosity is hypothesized. Here, however, a continuous, and analytically precise family of defect profiles are calculated for the entire range, −0·5 ≤ β ≤ ∞. The solutions span the whole profile with the exception of the viscous sublayer.

A detailed consideration of the viscous sublayer and a comparative examination of various eddy viscosity hypotheses are included in a companion paper.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 2 , February 1966 , pp. 225 - 253
Copyright
© 1966 Cambridge University Press

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